## Common Gate Output Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vout = -(gm*Vc)*((RL*Rgate)/(Rgate+RL))
This formula uses 5 Variables
Variables Used
Output Voltage - (Measured in Volt) - Output voltage is the electrical potential difference that is delivered to a load by a power supply and it plays a critical role in determining the performance and reliability of electronic systems.
Transconductance - (Measured in Siemens) - Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant.
Critical Voltage - (Measured in Volt) - Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor.
Load Resistance - (Measured in Ohm) - Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage.
Gate Resistance - (Measured in Ohm) - Gate Resistance is the resistance that occurs when a voltage is applied across a MOSFET gate and source. It is caused by the insulating layerthat separates the gate and source terminals.
STEP 1: Convert Input(s) to Base Unit
Transconductance: 0.5 Millisiemens --> 0.0005 Siemens (Check conversion ​here)
Critical Voltage: 0.284 Volt --> 0.284 Volt No Conversion Required
Load Resistance: 0.28 Kilohm --> 280 Ohm (Check conversion ​here)
Gate Resistance: 16.4 Ohm --> 16.4 Ohm No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vout = -(gm*Vc)*((RL*Rgate)/(Rgate+RL)) --> -(0.0005*0.284)*((280*16.4)/(16.4+280))
Evaluating ... ...
Vout = -0.00219994601889339
STEP 3: Convert Result to Output's Unit
-0.00219994601889339 Volt --> No Conversion Required
-0.00219994601889339 -0.0022 Volt <-- Output Voltage
(Calculation completed in 00.004 seconds)
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Created by Ritwik Tripathi
Vellore Institute of Technology (VIT Vellore), Vellore
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## < 20 Voltage Calculators

Conductance of Channel of MOSFET using Gate to Source Voltage
Conductance of Channel = Mobility of Electrons at Surface of Channel*Oxide Capacitance*Channel Width/Channel Length*(Gate-Source Voltage-Threshold Voltage)
Common Gate Output Voltage
Output Voltage at Drain Q1 of MOSFET given Common-Mode Signal
Drain Voltage Q1 = -Output Resistance*(Transconductance*Common Mode Input Signal)/(1+(2*Transconductance*Output Resistance))
Voltage across Gate and Source of MOSFET on Operation with Differential Input Voltage
Gate-Source Voltage = Threshold Voltage+sqrt((2*DC Bias Current)/(Process Transconductance Parameter*Aspect Ratio))
Source Input Voltage
Source Input Voltage = Input Voltage*(Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))
Input Gate-to-Source Voltage
Critical Voltage = (Input Amplifier Resistance/(Input Amplifier Resistance+Equivalent Source Resistance))*Input Voltage
Output Voltage at Drain Q2 of MOSFET given Common-Mode Signal
Drain Voltage Q2 = -(Output Resistance/((1/Transconductance)+2*Output Resistance))*Common Mode Input Signal
Voltage across Gate and Source of MOSFET given Input Current
Gate-Source Voltage = Input Current/(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Positive Voltage given Device Parameter in MOSFET
Input Current = Gate-Source Voltage*(Angular Frequency*(Source Gate Capacitance+Gate-Drain Capacitance))
Overdrive Voltage when MOSFET Acts as Amplifier with Load Resistance
Transconductance = Total Current/(Common Mode Input Signal-(2*Total Current*Output Resistance))
Incremental Voltage Signal of Differential Amplifier
Common Mode Input Signal = (Total Current/Transconductance)+(2*Total Current*Output Resistance)
Voltage at Drain Q1 of MOSFET
Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Voltage at Drain Q2 in MOSFET
Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
Saturation Voltage of MOSFET
Drain and Source Saturation Voltage = Gate-Source Voltage-Threshold Voltage
Voltage across Gate to Source of MOSFET on Differential Input Voltage given Overdrive Voltage
Gate-Source Voltage = Threshold Voltage+1.4*Effective Voltage
Threshold Voltage when MOSFET Acts as Amplifier
Threshold Voltage = Gate-Source Voltage-Effective Voltage
Treshold Voltage of MOSFET
Threshold Voltage = Gate-Source Voltage-Effective Voltage
Overdrive Voltage
Overdrive Voltage = (2*Drain Current)/Transconductance
Output Voltage at Drain Q1 of MOSFET
Drain Voltage Q1 = -(Output Resistance*Total Current)
Output Voltage at Drain Q2 of MOSFET
Drain Voltage Q2 = -(Output Resistance*Total Current)

## Common Gate Output Voltage Formula

Vout = -(gm*Vc)*((RL*Rgate)/(Rgate+RL))

## What is the application of Common Gate Output Voltage

Common Gate Output Voltage is crucial in understanding the behavior of a MOSFET. It represents the voltage at the drain-source terminal of the MOSFET when it is in its on-state.It refers to the voltage level at the output terminal of a common gate amplifier. The common gate configuration is commonly used for impedance matching and signal amplification purposes. It is often found in RF (Radio Frequency) applications.

## How to Calculate Common Gate Output Voltage?

Common Gate Output Voltage calculator uses Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance)) to calculate the Output Voltage, The Common Gate Output Voltage formula is defined as the voltage output from a logic gate when the input signals are at their threshold levels. It is the voltage level at which the gate will produce an output signal, regardless of the input signals. Output Voltage is denoted by Vout symbol.

How to calculate Common Gate Output Voltage using this online calculator? To use this online calculator for Common Gate Output Voltage, enter Transconductance (gm), Critical Voltage (Vc), Load Resistance (RL) & Gate Resistance (Rgate) and hit the calculate button. Here is how the Common Gate Output Voltage calculation can be explained with given input values -> -0.021744 = -(0.0005*0.284)*((280*16.4)/(16.4+280)).

### FAQ

What is Common Gate Output Voltage?
The Common Gate Output Voltage formula is defined as the voltage output from a logic gate when the input signals are at their threshold levels. It is the voltage level at which the gate will produce an output signal, regardless of the input signals and is represented as Vout = -(gm*Vc)*((RL*Rgate)/(Rgate+RL)) or Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance)). Transconductance is defined as the ratio of the change in the output current to the change in the input voltage, with the gate-source voltage held constant, Critical Voltage is the minimum phase to the neutral voltage which glows and appears all along the line conductor, Load resistance is the external resistance connected between the drain terminal of the MOSFET and the power supply voltage & Gate Resistance is the resistance that occurs when a voltage is applied across a MOSFET gate and source. It is caused by the insulating layerthat separates the gate and source terminals.
How to calculate Common Gate Output Voltage?
The Common Gate Output Voltage formula is defined as the voltage output from a logic gate when the input signals are at their threshold levels. It is the voltage level at which the gate will produce an output signal, regardless of the input signals is calculated using Output Voltage = -(Transconductance*Critical Voltage)*((Load Resistance*Gate Resistance)/(Gate Resistance+Load Resistance)). To calculate Common Gate Output Voltage, you need Transconductance (gm), Critical Voltage (Vc), Load Resistance (RL) & Gate Resistance (Rgate). With our tool, you need to enter the respective value for Transconductance, Critical Voltage, Load Resistance & Gate Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Output Voltage?
In this formula, Output Voltage uses Transconductance, Critical Voltage, Load Resistance & Gate Resistance. We can use 2 other way(s) to calculate the same, which is/are as follows -
• Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
• Output Voltage = -(Total Load Resistance of MOSFET/(2*Output Resistance))*Common Mode Input Signal
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